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Finding the Fourth Proportional to 473.21, 653.00 and 263.37

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Solution

The fourth proportional to 473.21, 653.00 and 263.37 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.21 : 653.00 = 263.37 : x
  2. Step 2: Convert to fraction form
    473.21/653.00 = 263.37/x
  3. Step 3: Cross multiply
    473.21x = 653.00 × 263.37
  4. Step 4: Simplify right side
    473.21x = 171,979.29
  5. Step 5: Solve for x
    x = 171,979.29/473.21
  6. Step 6: Final answer
    x = 363.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.